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\sqrt{1600-25^{2}}
Calculate 40 to the power of 2 and get 1600.
\sqrt{1600-625}
Calculate 25 to the power of 2 and get 625.
\sqrt{975}
Subtract 625 from 1600 to get 975.
5\sqrt{39}
Factor 975=5^{2}\times 39. Rewrite the square root of the product \sqrt{5^{2}\times 39} as the product of square roots \sqrt{5^{2}}\sqrt{39}. Take the square root of 5^{2}.